Skip to main content

Resonant and Non-resonant Solutions of the Non-linear Vibration of SWCNTs Embedded in Viscous Elastic Matrix Using KBM Method

  • Conference paper
  • First Online:
  • 2991 Accesses

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 215))

Abstract

The vibrational analysis of single wall carbon nanotube embedded in viscous elastic matrix has been investigated. The Euler Bernoulli model of non-local continuum theory is used and theoretical dynamic response under parametric excitation is studied. The resonant and non-resonant solutions in the response are analytically studied using Krylov Bogoliubov and Mitropolsky method.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   229.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD   299.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. S. Iijima, Helical microtubules of graphitic carbon. Nature 354, 56–58 (1991). London

    Article  ADS  Google Scholar 

  2. A.C. Eringen, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves. J. Appl. Phys. 54(9), 4703–4710 (1983)

    Article  ADS  Google Scholar 

  3. Q. Wang, Y. Shindo, Nonlocal continuum models for carbon nanotubes subjected to static loading. J. Mech. Mater. Struct. 1(4), 663 (2006)

    Article  Google Scholar 

  4. B. Arash, Q. Wang, A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes. J. Comput. Mater. Sci. 51, 303–313 (2012)

    Article  Google Scholar 

  5. Y.Z. Wang, Y.S. Wang, L.L. Ke, Nonlinear vibration of carbon nanotube embedded in viscous elastic matrix under parametric excitation by nonlocal continuum theory. Phys. E 83, 195–200 (2016). Elsevier, North Holland

    Article  Google Scholar 

  6. A. Khan, S. Husain, Dynamical response of the nonlinear vibration of single walled carbon nanotubes. J. Comput. Theor. Nanosci. 9, 1–10 (2012). American Scientific Printers, USA

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Samina Husain .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Khan, A., Tyagi, M., Husain, M., Husain, S. (2019). Resonant and Non-resonant Solutions of the Non-linear Vibration of SWCNTs Embedded in Viscous Elastic Matrix Using KBM Method. In: Sharma, R., Rawal, D. (eds) The Physics of Semiconductor Devices. IWPSD 2017. Springer Proceedings in Physics, vol 215. Springer, Cham. https://doi.org/10.1007/978-3-319-97604-4_15

Download citation

Publish with us

Policies and ethics